Conformal theory of central surface density for galactic dark halos

R. K. Nesbet

doi:10.59400/jam.v2i1.465

Conformal theory of central surface density for galactic dark halos

R. K. Nesbet IBM Almaden Research Center, 650 Harry Road, San Jose, CA 95120-6099, USA

Ariticle ID: 465

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DOI: https://doi.org/10.59400/jam.v2i1.465

Keywords: galactic dark halos; conformal theory; dark matter

Abstract

Numerous dark matter studies of galactic halo gravitation depend on models with a core radius of r₀ and a central density of ρ₀. The central surface density product ρ₀r₀ is found to be nearly a universal constant for a large range of galaxies. Standard variational field theory with Weyl conformal symmetry postulated for gravitation and the Higgs scalar field, without dark matter, implies nonclassical centripetal acceleration , for a = a_N + , where Newtonian acceleration a_N is due to observable baryonic matter. Neglecting a halo cutoff at a very large galactic radius, conformal is constant over the entire halo, and a = a_N + is a universal function, consistent with a recent study of galaxies with independently measured mass, that constrains acceleration due to dark matter or to an alternative theory. An equivalent dark matter source would be a pure cusp distribution with a cutoff parameter determined by a halo boundary radius. This is shown to imply a universal central surface density for any dark matter core model.

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Published

2024-02-28

How to Cite

Nesbet, R. K. (2024). Conformal theory of central surface density for galactic dark halos. Journal of AppliedMath, 2(1), 465. https://doi.org/10.59400/jam.v2i1.465

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